Ms. Morales showed her geometry students the figure below and told them that DE || BC. She asked them to use this information to prove that DE divides AB and AC proportionally.

Answer:

I'm pretty sure you would need a battery...

Given:

The pair of points.

5. P(1, 1), Q(–1, –1)

6. [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex]

To find:

The distance between the pair of points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

5.

The distance between the pair of points P(1, 1) and Q(–1, –1) is:

[tex]PQ=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]

[tex]PQ=\sqrt{(-2)^2+(-2)^2}[/tex]

[tex]PQ=\sqrt{4+4}[/tex]

[tex]PQ=\sqrt{8}[/tex]

[tex]PQ=2\sqrt{2}[/tex]

Therefore, the distance between P and Q is [tex]2\sqrt{2}[/tex].

6.

The distance between the pair of point [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex] is:

[tex]EF=\sqrt{\left(5-\dfrac{1}{2}\right)^2+\left(-\dfrac{1}{2}-4\dfrac{1}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{10-1}{2}\right)^2+\left(-\dfrac{1}{2}-\dfrac{17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{9}{2}\right)^2+\left(\dfrac{-2-17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\dfrac{81}{4}+\left(\dfrac{-19}{4}\right)^2}[/tex]

On further simplification, we get

[tex]EF=\sqrt{\dfrac{81}{4}+\dfrac{361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{324+361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{685}{16}}[/tex]

[tex]EF=\sqrt{42.8125 }[/tex]

[tex]EF\approx 6.5[/tex]

Therefore, the distance between E and F is 6.5 units.

Answer:

The slope of a vertical line is undefined. The slope of a horizontal line is 0

Step-by-step explanation:

Slope is rise/run

and the rise of a horizontal line is zero since it neither increases nor decreases; therefore, the slope is zero. while a vertical line has undefined slope since it does not run horizontally because division by zero is an undefined operation.

Answer ad Step-by-step explanation:

1. Adding 10mn and -15mn.

10mn + -15mn = -5mn.

2. Adding [tex]-7a^{2}[/tex] and [tex]-8a^{2}[/tex].

[tex]-7a^{2} + -8a^{2} = -15a^{2}[/tex].

3. Adding 6(x + 3) and -7(x + 3).

6x + 18 + -7x - 21

x - 3.

4. Adding ?

5. Adding 0.5xyz and 1.5 xyz.

0.5xyz + 1.5xyz = 2xyz.

#teamtrees #PAW (Plant And Water)

Answer:

75

Step-by-step explanation:

Answer:

n=56

Step-by-step explanation:

choose as brinlest

Answer:

n=−56

Step-by-step explanation:

Answer:

$ 1,232

Step-by-step explanation:

Answer:

Try the links below

do CTRL+F and then look up micah also trims bushes.

Your answer should be there

Step-by-step explanation:

https://mmayo.weebly.com/uploads/8/3/8/3/8383777/istep_extended_response_review.docx

http://stalbaum.weebly.com/uploads/1/4/0/8/14088751/istep_review.pdf

Answer:

6.86

Step-by-step explanation:

First, divide 4.90 by 5 then multiply 0.98 by 7.

Answer: I see a dot so -2,-2?

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

:DDDDDDDDD

Answer:

7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm

Step-by-step explanation:

Answer:

no entindendol ingels

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

square 6, which is 36. then square 10, which is 100. then do:

100-36=64

take the square root of 64, which is 8.

Answer:

15 - 2

Step-by-step explanation:

hope this helps :)

Answer:

4 + 9 should be the answer

Step-by-step explanation:

Answer: 949.85 in 3

Step-by-step explanation:i took the test lol

Answer:

$1.25

Step-by-step explanation:

Given data

let the movie ticket be x and the candy bar be y

x+y= 5-------------1

also

2x+y= 8.75--------2

solve 1 and 2

x+y= 5

2x+y= 8.75

from 1

x= 5-y

put this inplace of x in 2

2(5-y)+y=8.75

10-2y+y= 8.75

10-y= 8.75

10-8.75=y

y= 1.25

Hence candy bar is $1.25

Answer:

x = 65

Step-by-step explanation:

Triangle interior angle sum is 180 degrees.

2x + 25 + 25 = 180

2x = 130

x = 65

Answer:

65

Step-by-step explanation:

OK so we know that the bottom line shows a 180 degrees angle

so 180-25+25 = 180-50 = 130

Now divide 130 by 2 and you should get 65.

Hope this helps..!!

Answer:

Step-by-step explanation:

6/5 = 1⅕ or 1.2

Answer:

decimal form 1.2

mixed form: 1  1/5

Step-by-step explanation:

I'm not sure which answer you were looking for

Answer:

f(x) = 19x/5+4

Step-by-step explanation:

f(0) = 4,f(5)=19

[f(x) - 4]/[x-0] = (19-0)/(5-0)

f(x) = 19x/5+4

Answer:

121

Step-by-step explanation:

Number of sides = n = 7

Sum of all the interior angles = (n -2)*180 = (7-2) *180

                                                = 5 *180

                                                = 900

x +  125 + 119 +117 +145 + 133 + 140 = 900

x + 779 = 900

x = 900 - 779

x = 121

Answer:

x = 121°

Step-by-step explanation:

The formula to find the sum of interior angles of a polygon is:

180 ( n - 2 )

Here,

n ⇒ number of sides ⇒ 7

First, let us find the sum of the interior angles of the polygon.

180 ( n - 2 )

180 × ( 7 - 2 )

180 × 5

900°.

Accordingly, let us make an expression to find the value of x.

145 + 133 + 140 + 125 + 119 + 117 + x = 900

Let us solve for x now.

779 + x = 900

Subtract 779 from both sides.

x = 900 - 779

x = 121

Answer:

y=3/4x-2

Hope this could help! Math is the worst! （ミ￣ー￣ミ）

Answer: 4/1

Step-by-step explanation:

Rise over run. Starting at 1 on the y axis this line moves up 4 and over (right) 1 before it hits 1 on the x axis.